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Simplifying 0.06c + -0.1c + 3 = 0.4 + c Reorder the terms: 3 + 0.06c + -0.1c = 0.4 + c Combine like terms: 0.06c + -0.1c = -0.04c 3 + -0.04c = 0.4 + c Solving 3 + -0.04c = 0.4 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 3 + -0.04c + -1c = 0.4 + c + -1c Combine like terms: -0.04c + -1c = -1.04c 3 + -1.04c = 0.4 + c + -1c Combine like terms: c + -1c = 0 3 + -1.04c = 0.4 + 0 3 + -1.04c = 0.4 Add '-3' to each side of the equation. 3 + -3 + -1.04c = 0.4 + -3 Combine like terms: 3 + -3 = 0 0 + -1.04c = 0.4 + -3 -1.04c = 0.4 + -3 Combine like terms: 0.4 + -3 = -2.6 -1.04c = -2.6 Divide each side by '-1.04'. c = 2.5 Simplifying c = 2.5
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